---
tag: 0RP20HFYM3
kind: concept
name: Positive definite quadratic form
msc: [15A63, "11E04"]
sources:
  - url: https://en.wikipedia.org/wiki/Definite_quadratic_form
    locator: lead section
---

## Summary

A positive definite quadratic form is a real quadratic form that takes a positive value at every nonzero vector.